Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 67, 12, 85, 17 i.e. 68340 smallest integer divisible by all numbers.
Least common multiple (LCM) of 67, 12, 85, 17 is 68340.
LCM(67, 12, 85, 17) = 68340
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
17 | 67, 12, 85, 17 |
67, 12, 5, 1 |
∴ So the LCM of the given numbers is 17 x 67 x 12 x 5 x 1 = 68340
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 67,12,85,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,12,85,17) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(67,12,85,17) x common factors =1 x 17 = 17
LCM(67,12,85,17) = ( 67 × 12 × 85 × 17 ) / 17
LCM(67,12,85,17) = 1161780 / 17
LCM(67,12,85,17) = 68340
∴ Least Common Multiple of 67,12,85,17 is 68340
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 67, 12, 85, 17?
Answer: LCM of 67, 12, 85, 17 is 68340.
2. What are the Factors of 68340?
Answer: Factors of 68340 are . There are integers that are factors of 68340
3. How to Find the LCM of 67, 12, 85, 17 ?
Least Common Multiple of 67, 12, 85, 17.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(67, 12, 85, 17) = 2 x 2 x 3 x 5 x 17 x 67 = 68340.